Understanding the Cosine Function

The video tutorial explores the cosine graph by calculating cosine values for various angles. It begins with an introduction to the cosine graph and a table setup for angles in degrees. The instructor demonstrates how to calculate cosine values using a calculator and observes patterns in these values. The tutorial concludes with a comparison of the cosine graph to the sine graph, highlighting their similarities and differences.

What is the purpose of the angle table in the cosine graph tutorial?

• To organize angles for cosine calculations

• To list angles for sine calculations

• To compare angles with tangent values

• To demonstrate angle conversions

Which mode should your calculator be set to when calculating cosine values?

• Radian mode

• Fraction mode

• Scientific mode

• Degree mode

What is the cosine of 60 degrees?

• 0.866

• 0.707

• 0.5

• 0

How does the cosine value of 120 degrees compare to that of 60 degrees?

• It is zero

• It is double the value

• It is the negative of 60 degrees

• It is the same

What pattern is observed in the cosine values as the angles increase?

• They decrease exponentially

• They increase linearly

• They remain constant

• They form a repeating pattern

How does the cosine graph compare to the sine graph?

• It is identical

• It is shifted 90 degrees to the left

• It is shifted 90 degrees to the right

• It is inverted

What is the starting value of the cosine graph?

• 0.5

• Minus one

• One

• Zero

What is the cosine value at 180 degrees?

• Zero

• One

• Minus one

• 0.5

What is the repeating pattern of the cosine graph?

• Zero, minus one, zero, one, zero

• Minus one, zero, one, zero, minus one

• Zero, one, zero, minus one, zero

• One, zero, minus one, zero, one